Solutions of Cooperative Differential Games with Partner Sets

Network differential games with partner sets are considered. The payoff of each player depends on his actions and the actions of the players from his partner set. The article proposes a cooperative version of the game. A special-type characteristic function that takes into account players in partner sets is introduced, and its superadditivity is proved. As a solution, we propose a C-core, for which nonemptiness is proved, as well as a Shapley value and tau-value.